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Ipatiy [6.2K]
2 years ago
8

What is the solution to this inequality? X-6<-4

Mathematics
1 answer:
Gekata [30.6K]2 years ago
8 0

Step-by-step explanation:

x - 6 <  - 4

x - 6 + 6 <  - 4 + 6

x < 2

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A ball thrown in the air vertically from ground level with initial velocity 37 m/s has height h(t) = 37t − 4.9t2 m at time t (in
Nesterboy [21]

Answer:

46.57

Step-by-step explanation:

Given that:

h(t) = 37t - 4.9t²

When the ball reaches the ground, then the height is zero;

So, we equate h(t) to zero and solve for t

37t - 4.9t² = 0

t = 0, 7.55

Let the Initial time be  a = t = 0

The time the ball reaches the ground be b = 7.55

So, the average height can now be calculated as:

Average height = \frac{1}{b-a}\int\limits^b_a {h(t)} \, dt

= \frac{1}{7.55-0}\int\limits^{7.55}_0 (37t-4.9^2)   dt

= \frac{1}{7.55-0}\ (\frac{37(7.55)^2}{2} - \frac {4.9(7.55)^3}{3})

= \frac{1}{7.55-0}\ (351.6104208)

= 46.57091665

≅ 46.57  to (2 decimal places)

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